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Here are the results for the given function \( V(r) = \frac{4}{3} \pi r^3 \):

(a) \( V(2) = 10.67\pi \)

(b) \( V\left(\sqrt{\frac{3}{2}}\right) = 2.45\pi \)

(c) \( V(3r) = 36\pi r^3 \)

If you have any questions or need further details, feel free to ask!

### Related Questions:
1. How is the formula for the volume of a sphere derived?
2. What happens to the volume when you triple the radius?
3. How can you simplify the expression \( V(kr) \) in general terms?
4. What is the significance of \( \pi \) in geometric problems like this?
5. How can the volume formula be applied to real-world objects?

**Tip:** Always simplify expressions before substituting values to avoid errors in more complex calculations!

Find the function value for V(r) = (4/3)πr^3. Solve for (a) V(2), (b) V(√(3/2)), (c) V(3r).

Learn how to calculate the volume of a sphere using the formula V(r) = (4/3)πr^3. Solve problems including V(2), V(√(3/2)), and V(3r), ideal for students in grades 9-12.

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